Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line

Abderrazak Chrifi; Mostafa Abounouh; Hassan Al Moatassime

doi:10.3934/dcdss.2021030

Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2021030 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Abderrazak Chrifi ◽

Mostafa Abounouh ◽

Hassan Al Moatassime

Keyword(s):

Boundary Condition ◽

Galerkin Method ◽

Half Line ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Nonlinear Schrödinger

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Artificial boundary condition for one-dimensional nonlinear Schrödinger problem with Dirac interaction: existence and uniqueness results

Boundary Value Problems ◽

10.1186/s13661-018-0935-9 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Mostafa Abounouh ◽

Hassan Al Moatassime ◽

Abderrazak Chrifi

Keyword(s):

Boundary Condition ◽

Existence And Uniqueness ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Existence And Uniqueness Results ◽

Uniqueness Results

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Existence of global attractor for one-dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half-line

Advances in Difference Equations ◽

10.1186/s13662-017-1194-2 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 2

Author(s):

Mostafa Abounouh ◽

Hassan Al Moatassime ◽

Abderrazak Chrifi

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Global Attractor ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

One Dimensional

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A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) ◽

10.3934/proc.2015.1070 ◽

2015 ◽

Author(s):

Evgeny M. Trykin ◽

Vyacheslav A. Trofimov

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Nonlinear Schrödinger

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On H 2 -Estimates of Solutions to the Stokes System with an Artificial Boundary Condition

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-002-8543-x ◽

2002 ◽

Vol 4 (3) ◽

pp. 203-236 ◽

Cited By ~ 3

Author(s):

P. Deuring

Keyword(s):

Boundary Condition ◽

Stokes System ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Estimates Of Solutions

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On the application of artificial boundary condition frequencies in structural identification

Research and Applications in Structural Engineering, Mechanics and Computation ◽

10.1201/b15963-395 ◽

2013 ◽

pp. 815-816 ◽

Cited By ~ 1

Keyword(s):

Boundary Condition ◽

Structural Identification ◽

Artificial Boundary ◽

Artificial Boundary Condition

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The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00046-8 ◽

1999 ◽

Vol 179 (3-4) ◽

pp. 345-360 ◽

Cited By ~ 6

Author(s):

Houde Han ◽

Weizhu Bao

Keyword(s):

Boundary Condition ◽

Poisson Equation ◽

Direct Method ◽

Method Of Lines ◽

Exterior Problem ◽

Artificial Boundary ◽

Artificial Boundary Condition

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Efficient computation of the flow around single fluid particles using an artificial boundary condition

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3890 ◽

2014 ◽

Vol 75 (3) ◽

pp. 184-204 ◽

Cited By ~ 3

Author(s):

D. Weirich ◽

M. Köhne ◽

D. Bothe

Keyword(s):

Boundary Condition ◽

Efficient Computation ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Fluid Particles

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The nonlinear Schrödinger equation on the half-line with a Robin boundary condition

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00589-y ◽

2021 ◽

Vol 11 (4) ◽

Author(s):

A. Alexandrou Himonas ◽

Dionyssios Mantzavinos

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Robin Boundary

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An artificial boundary condition for an advection-diffusion equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670140302 ◽

1991 ◽

Vol 14 (3) ◽

pp. 155-175 ◽

Cited By ~ 12

Author(s):

Jean-Pierre Lohéac

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Advection Diffusion Equation ◽

Advection Diffusion

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An Artificial Boundary Condition for Subsonic Flows Governed by Compressible Navier—Stokes Equations

Computational Fluid Dynamics 2000 ◽

10.1007/978-3-642-56535-9_48 ◽

2001 ◽

pp. 331-336

Author(s):

Charles-Henri Bruneau ◽

Emmanuel Creusé

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Navier Stokes ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Navier Stokes Equations ◽

Subsonic Flows

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